Correspondence analysis-based network clustering and importance of degenerate solutions unification of spectral clustering and modularity maximization

Methods to find clusters in a network have been studied extensively because clustering has practical importance in many applications. Commonly used methods include spectral clustering and Newman’s modularity maximization. However, there has been no unified view of the two methods. In this study, we introduce an innovative guiding principle based on correspondence analysis to obtain node coordinates and discuss its equivalence to spectral clustering and Newman’s modularity. Besides, we discuss a degeneration case and its significance.